The linear profile decomposition for the fourth order Schrodinger equation

被引：15

作者：

Jiang, Jin-Cheng ^{[2
]}

Pausader, Benoit ^{[3
]}

Shao, Shuanglin ^{[1
]}

机构：

[1] Univ Minnesota, Inst Math & Its Applicat, Minneapolis, MN 55455 USA

[2] Acad Sinica, Inst Math, Taipei 10617, Taiwan

[3] Brown Univ, Dept Math, Providence, RI 02912 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年 / 249卷 / 10期

基金：

美国国家科学基金会;

关键词：

NLS; Profile decomposition; Extremal; GLOBAL WELL-POSEDNESS; BLOW-UP; SCATTERING; COMPACTNESS; MAXIMIZERS; REGULARITY; EXISTENCE;

D O I：

10.1016/j.jde.2010.06.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish the linear profile decomposition for the one-dimensional fourth order Schrodinger equation {iu(t) - mu Delta u + Delta(2)u = 0, t is an element of R, x is an element of R, u(0, x) = f(x)is an element of L-2, where mu >= 0. As an application, we establish a dichotomy result on the existence of extremals to the symmetric Schrodinger Strichartz inequality. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2521 / 2547

页数：27

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